312404042020320 has 144 divisors (see below), whose sum is σ = 1066087606343760. Its totient is φ = 83307055859712.

The previous prime is 312404042020313. The next prime is 312404042020331. The reversal of 312404042020320 is 23020240404213.

312404042020320 is a `hidden beast` number, since 3 + 1 + 24 + 0 + 404 + 202 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187026591 + ... + 188689569.

It is an arithmetic number, because the mean of its divisors is an integer number (7403386155165).

Almost surely, 2^{312404042020320} is an apocalyptic number.

312404042020320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312404042020320 is an abundant number, since it is smaller than the sum of its proper divisors (753683564323440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312404042020320 is a wasteful number, since it uses less digits than its factorization.

312404042020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793457 (or 1793446 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 312404042020320 its reverse (23020240404213), we get a palindrome (335424282424533).

The spelling of 312404042020320 in words is "three hundred twelve trillion, four hundred four billion, forty-two million, twenty thousand, three hundred twenty".